Question

Can someone help me figure out x?

Answer 1

Given:

Given that ABC is a right angled triangle.

The length of AB is 29 units.

Length of BC is 9 units.

The measure of ∠A is x.

We need to determine the value of x.

Value of x:

The value of x can be determined by using the trigonometric ratios.

Thus, we have;

$sin \ A=\frac{BC}{AB}$

Substituting the values, we get;

$sin \ x=\frac{9}{29}$

Simplifying, we get;

$sin \ x=0.3103$

Taking $sin^{-1}$ on both sides, we get;

$x=sin^{-1}(0.3103)$

$x=18.08$

Thus, the value of x is 18.08

Hence, the measure of ∠A is 18.08°